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Universal parabola of interface deviation in two dimensions

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  • Hatano, Naomichi

Abstract

It is found that the interface deviation of the solid-on-solid model in two dimensions forms a parabola, provided that both end points of the interface are fixed. The parabolic behavior, exact or approximate, appears in uniform systems, in systems with periodic potentials, and even in systems with quenched randomness. We thus conclude that it is a universal property of a one-dimensional object subject to thermal fluctuations.

Suggested Citation

  • Hatano, Naomichi, 1993. "Universal parabola of interface deviation in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(2), pages 318-334.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:2:p:318-334
    DOI: 10.1016/0378-4371(93)90010-2
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    References listed on IDEAS

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    1. Lipowski, Adam & Lipowska, Dorota, 1993. "Moments of random walk with fixed end point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(1), pages 67-74.
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